A. 29
B. 32
C. 55
D. 30
We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear and no other set of three points, except those that can be selected out of these 6 points are collinear.
Hence, the required number of straight lines
= ¹¹C₂ – ⁶C₂ – ⁵C₂ + 1 + 1
= 55 – 15 – 10 + 2 = 32
Related Mcqs:
- A big rectangular plot of area 4320 Sq.m is divided into 3 square shaped smaller plots by fencing parallel to the smaller side of the plot. However, some area of land was still left as a square plot could not be formed. So 3 more square shaped plots were formed by fencing parallel to the longer side of the original plot. Such that no area of the plot was left a surplus. What are the dimensions of the original plot?
A. 160m × 27m
B. 240m × 18m
C. 120m × 36m
D. 135m × 32m - A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
A. 625
B. 665
C. 632
D. 656 - A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?
A. Rs.60000
B. Rs.75000
C. Rs.68400
D. Rs.78400 - A trader marked the price of the T.V. 30% above the cost price of the T.V. and gave the purchaser 10% discount on the marked price, thereby gaining Rs.340. Find the cost price of the T.V?
A. Rs.2250
B. Rs.2000
C. Rs.2150
D. Rs.2200 - After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
A. Rs. 6400
B. Rs. 5600
C. Rs. 5000
D. Rs. 4800
E. None of these - Kabir buys an article with 25% discount on its marked price. He makes a profit of 10 % by selling it at Rs. 660. The marked price is :
A. Rs. 600
B. Rs. 700
C. Rs. 800
D. Rs. 685 - The marked price is 10% higher than the cost price. A discount of 10% is given on the marked price, in this kind of sale the seller
A. Bears no loss no gain
B. gains
C. loses 1%
D. None of these - A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is =_______ ?
A. Rs. 704
B. Rs. 640
C. Rs. 774
D. Rs. 680 - A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?
A. 216
B. 243
C. 215
D. 729 - The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?
A. (6!)2
B. 6! * ⁷P₆
C. 2(6!)
D. 6! * 7
